GCD of 823, 409, 13, 404 Calculator

Given Input numbers are 823, 409, 13, 404

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 823, 409, 13, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 409, 13, 404 is 1.

Therefore, GCD of numbers 823, 409, 13, 404 is 1

Given Input Data is 823, 409, 13, 404

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 823 is 823

Prime Factorization of 409 is 409

Prime Factorization of 13 is 13

Prime Factorization of 404 is 2 x 2 x 101

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(823, 409) = 336607

GCD(823, 409) = ( 823 x 409 ) / 336607

GCD(823, 409) = 336607 / 336607

GCD(823, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 823, 409, 13, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 265, 67, 671
• GCD of 220, 141, 11, 591
• GCD of 443, 567, 74, 852
• GCD of 715, 237, 43, 802
• GCD of 142, 637, 50, 351

1. What is the GCD of 823, 409, 13, 404?

GCD of 823, 409, 13, 404 is 1

2. Where do I get the detailed procedure to find GCD of 823, 409, 13, 404?

You can find a detailed procedure to find GCD of 823, 409, 13, 404 on our page.

3. How to find GCD of 823, 409, 13, 404 on a calculator?

You can find the GCD of 823, 409, 13, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.